I'm not sure if this should go here, or in electrodynamics, or in relativity, but never mind. I'm given to understand that Maxwell's equations are completely compatible with the theory of relativity, and apply over all distance scales. I've also heard of Kaluza-Klein theories in which adding a dimension to space-time results in the equations emerging naturally from the equations of general relativity.(adsbygoogle = window.adsbygoogle || []).push({});

My question is, how do maxwell's equations work in four (or higher)-dimensional space-time when two of them are formulated in terms of curl, which is only defined on R^3?

I guess the same goes for 10+D string theories, although I suspect there the answer has something to do with QFT and the MEs being a classical theory :S

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# Maxwell's equations in higher dimensions.

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